An Analysis of Laminar Free and Forced Convection between Finite Vertical Parallel Plates

Quintiere, James G.; Mueller, W.

doi:10.1115/1.3450004

Cited by 51 publications

(6 citation statements)

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“…The physically more suitable condition was also indicated by Quintiere and Mueller [6] and El-Shaarawi and Sarhan [7] by applying the usual Bernoulli equation.…”

Section: Inlet Pressure Conditionmentioning

confidence: 92%

Developing natural convection with thermal creep in a vertical microchannel

Chen¹,

Weng²

2006

J. Phys. D: Appl. Phys.

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Thermal creep occurs in anisothermal gas microflow. It is highly desirable to understand the creep effect on the flow and heat transfer characteristics for developing natural convective microflow. In this study, we investigate the steady developing natural convective flow in an open-ended vertical parallel-plate microchannel with asymmetric wall temperature distributions. The boundary-layer equations subject to the boundary conditions with respect to dynamic pressure at the channel entry as well as higher-order jump temperature and slip velocity with thermal creep along the channel surface are employed. The mathematical model and the numerical code are validated through available macroscale work. Numerical solutions of high-order slip coefficient, slip/jump, velocity, pressure, temperature, flow rate, flow drag and heat transfer rate are presented for air at the standard reference state with complete accommodation. It is found that thermal creep has significant effect on the high-order slip effect and the flow and thermal fields. The creep effect is to increase the flow rate; moreover, valuable reduced flow drag and enhanced heat transfer are obtained.

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“…The physically more suitable condition was also indicated by Quintiere and Mueller [6] and El-Shaarawi and Sarhan [7] by applying the usual Bernoulli equation.…”

Section: Inlet Pressure Conditionmentioning

confidence: 92%

Developing natural convection with thermal creep in a vertical microchannel

Chen¹,

Weng²

2006

J. Phys. D: Appl. Phys.

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“…Many studies of mixed convection in vertical slots and annuli have adopted the parallel flow assumptions (Shumway and McEligot, 1971;El-Shaarawl and Sarhan, 1980;Kim, 1985;Hashimoto, Akino and Kawamura, 1986;Quintiere and Mueller, 1973;Habchi and Acharya, 1986;, and ignored the possible hydrodynamic instabilities that can lead to increased mixing of the fluid. Thus, the results obtained without accounting for these effects will tend to underpredict the actual heat transfer rates.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection in an Annulus of Large Aspect Ratio

Yao

Rogers

1989

Journal of Heat Transfer

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ixed Convection in an Annulus of Large Aspect Ratio Mixed convection in an annulus of large aspect ratio is studied. At an aspect ratio of 100, the effect of wall curvature is minimal, and both the base flow and the stability characteristics approach those of a two-dimensional channel flow. The linearstability results demonstrate that the fully developed flow is unstable in regions of practical interest in an appropriate parameter space. Consequently, commonly assumed steady parallel countercurrent flows in many idealized numerical and analytical studies are unlikely to be observed experimentally.

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“…They concluded that the 2d simulation have provided a acceptable prediction for the problem up to Rayleigh 1 × 10 7 while greater than that value the flow becomes three-dimensional and turbulent. This result seems to be inconsistent to the conclusion stated by Quintiere and Mueller [8]. Fossa et al [9] has introduced a study on natural convection between two parallel walls.…”

Section: Introductionmentioning

confidence: 78%

Effect of the isothermal fins on the natural convection heat transfer and flow profile inside a vertical channel with isothermal parallel walls

Aziz

Gaheen²

2019

SN Appl. Sci.

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This paper presents current study on a natural laminar convection flow in vertical plane of open on both ends parallel channel bounded by isothermal walls having the same temperature. An isothermal fins are mounted inside the channel in its walls and located in the middle of the channel face to face also. A numerical investigation has been performed at different parameters of Raleigh number of Ra = 5 × 10 3 :5 × 10 6 , fin length l/W = 0:0.1:0.2:0.3:0.4, fin angle θ = 0°:7°:15°:22°:30°, and − 30°, and staggered fins of 0, h/3, 2 h/3. The effect of these parameters on the flow structure, velocity distribution, temperature field, local and overall heat transfer coefficient are potted at the mid width and different height along the channel in this work. The numerical analysis have conducted using finite volume integrated proposed by CFDRC depending on the governing equations of mass, momentum, and energy conservation and dimensionless group of heat transfer is used in investigation with a control volume.

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An Analysis of Laminar Free and Forced Convection between Finite Vertical Parallel Plates

Cited by 51 publications

References 0 publications

Developing natural convection with thermal creep in a vertical microchannel

Developing natural convection with thermal creep in a vertical microchannel

Mixed Convection in an Annulus of Large Aspect Ratio

Effect of the isothermal fins on the natural convection heat transfer and flow profile inside a vertical channel with isothermal parallel walls

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